On an iterative method for solving linear programming problems on cluster computing systems

The paper was recommended by the Programm Committee of th International Conference "Russian Supercomputing Days"





linear programming, large-scale problems, apex-method, predictor–corrector framework, iterative method, parallel algorithm, cluster computing system


The paper is devoted to a new method for solving large-scale linear programming (LP) problems. This method is called the apex-method. The apex-method uses the predictor–corrector framework. Thepredictor step calculates a point belonging to the feasible region of the LP problem. The corrector step calculates a sequence of points converging to the exact solution of the LP problem. The paper gives a formal description of the apex-method and provides information about its parallel implementation in C++ language using the MPI library. The results of large-scale computational experiments on a cluster computing system to study the scalability of the apex method are discussed.

Author Biographies

L.B. Sokolinsky

Irina Sokolinskaya


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How to Cite

Соколинский Л.Б., Соколинская И.М. On an Iterative Method for Solving Linear Programming Problems on Cluster Computing Systems: The Paper Was Recommended by the Programm Committee of Th International Conference "Russian Supercomputing Days" // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2020. 21. 329-340. doi 10.26089/NumMet.v21r328



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